Approximating Fixed Points for Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces

We introduce a new iterative scheme for nding a common element of the solutions set of a generalized mixed equilibrium problem and the xed points set of an innitely countable family of nonexpansive mappings in a Banach space setting. Strong convergence theorems of the proposed iterative scheme are also established by the generalized projection method. Our results generalize the corresponding results in the literature.